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5505508400 = 2452719239433
BaseRepresentation
bin1010010000010011…
…10110010000110000
3112012200120210201112
411020021312100300
542233402232100
62310150052452
7253301022620
oct51011662060
915180523645
105505508400
112375796a47
12109794a128
136997c1ca2
143a328c880
1522350bb35
hex148276430

5505508400 has 240 divisors, whose sum is σ = 16015641600. Its totient is φ = 1776660480.

The previous prime is 5505508339. The next prime is 5505508423. The reversal of 5505508400 is 48055055.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12714584 + ... + 12715016.

It is an arithmetic number, because the mean of its divisors is an integer number (66731840).

Almost surely, 25505508400 is an apocalyptic number.

5505508400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007820800).

5505508400 is an abundant number, since it is smaller than the sum of its proper divisors (10510133200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5505508400 is a wasteful number, since it uses less digits than its factorization.

5505508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 5505508400 is about 74199.1132022479. The cubic root of 5505508400 is about 1765.7632610658.

The spelling of 5505508400 in words is "five billion, five hundred five million, five hundred eight thousand, four hundred".